A delar buys chairs at ₹340 each at what price should he marked them for sale so that he may earn a profit of 25% after giving discount 15%

To solve this problem, we need to find the marked price (MP) of the chairs such that the dealer earns a profit of 25% after giving a discount of 15%.

### Step 1: Calculate the Selling Price (SP)
The dealer buys the chair for ₹340 and wants to earn a profit of 25%. 

The formula for Selling Price (SP) based on cost price (CP) and profit percentage is:
\[
SP = CP \times \left(1 + \frac{Profit\%}{100}\right)
\]

Here,
- \(CP = ₹340\)
- \(Profit\% = 25\)

\[
SP = 340 \times \left(1 + \frac{25}{100}\right) = 340 \times 1.25 = ₹425
\]

So, the dealer wants to sell the chair at ₹425 after the discount.

### Step 2: Find the Marked Price (MP)
The dealer offers a discount of 15% on the marked price (MP). The formula for the relationship between SP and MP after discount is:
\[
SP = MP \times \left(1 - \frac{Discount\%}{100}\right)
\]

Substituting the values:
\[
425 = MP \times \left(1 - \frac{15}{100}\right) = MP \times 0.85
\]

Now, solve for \(MP\):
\[
MP = \frac{425}{0.85} = ₹500
\]

### Final Answer:
The dealer should mark the chairs for ₹500 to earn a profit of 25% after giving a 15% discount.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the marked price change if the profit percentage were 30%?
2. What would happen if the discount were increased to 20%?
3. Can we solve this problem using a different method?
4. How do profit and discount percentages affect overall revenue?
5. How to calculate profit margin after discount?

**Tip**: Always remember, a discount is applied to the marked price, not the selling price!

A dealer buys chairs at ₹340 each. At what price should he mark them for sale so that he may earn a profit of 25% after giving a discount of 15%?

Learn how to calculate the marked price of a chair bought at ₹340 to ensure a 25% profit after giving a 15% discount. This step-by-step solution covers key profit and loss concepts, including how to calculate selling price and marked price. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation